On algebras with radical cube zero

DOI10.1007/BF01194384zbMath0636.16009OpenAlexW1987850249MaRDI QIDQ1097941

Mitsuo Hoshino

Publication date: 1989

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01194384

zbMATH Keywords

finite dimensional algebrasfinitely generated modulesself-injective algebrasradical cube zero algebras

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Jacobson radical, quasimultiplication (16N20) Centralizing and normalizing extensions (16S20)

Related Items

Local rings with vanishing hochschild cohomologies, A note on the Auslander-Reiten conjecture., Gorenstein‐projective modules over short local algebras, Tilting modules over Auslander algebras of Nakayama algebras with radical cube zero, Auslander-Reiten conjecture and special biserial algebras

Cites Work

• Unnamed Item
• Quasi-Frobenius rings and generalizations. QF-3 and QF-1 rings. Notes by Claus Michael Ringel
• On algebras with complete homology
• Modules without self-extensions and Nakayama's conjecture
• The Cartan map on categories of graded modules
• Covering spaces in representation-theory
• Graded Artin algebras
• On the Generalized Nakayama Conjecture and the Cartan Determinant Problem
• Tilted Algebras
• Representation theory of artin algebras iii almost split sequences
• On a Generalized Version of the Nakayama Conjecture
• Representation theory of artin algebras IV¹⁾Invariants given by almost split sequences
• The Classification of Algebras by Dominant Dimension